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Finding the Third Proportional to 75,311,788.25 and 116,375,917.25

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Solution

The third proportional to 75,311,788.25 and 116,375,917.25 is: 179,830,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311,788.25 : 116,375,917.25 = 116,375,917.25 : x
  2. Step 2: Convert to fraction form
    75,311,788.25/116,375,917.25 = 116,375,917.25/x
  3. Step 3: Cross multiply
    75,311,788.25x = 116,375,917.25 × 116,375,917.25
  4. Step 4: Simplify right side
    75,311,788.25x = 13,543,354,115,778,848
  5. Step 5: Solve for x
    x = 13,543,354,115,778,848/75,311,788.25
  6. Step 6: Final answer
    x = 179,830,467.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.